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A solid sphere of mass m rolls without s...

A solid sphere of mass m rolls without slipping on an inclined plane of inclination `theta`. The linear acceleration of the sphere is

A

`(7)/(5) g sin theta`

B

`(2)/(7) g sin theta`

C

`(3)/(7) g sin theta`

D

`(5)/(7) g sin theta`

Text Solution

Verified by Experts

The correct Answer is:
D
The lnear acceleration of the sphere,
`a=(g sin theta)/(1+(I)/(mR^(2)))=(g sin theta)/(1+(2)/(5))=(5)/(7) g sin theta`.
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